On (2, 3, t)-Generations for the Rudvalis Group Ru - Applied Mathematics

AM > Vol.4 No.9, September 2013

Applied Mathematics

Volume 4, Issue 9 (September 2013)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

On (2, 3, t)-Generations for the Rudvalis Group Ru ()

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Download as PDF (Size: 152KB) PP. 1290-1295

DOI: 10.4236/am.2013.49174 4,469 Downloads 6,468 Views Citations

Author(s)

Faryad Ali

Affiliation(s)

Department of Mathematics and Statistics, Faculty of Science, Al Imam Mohammad Ibn Saud Islamic University, Riyadh, Saudi Arabia.

ABSTRACT

A group G is said to be(2,3,t) -generated if it can be generated by an involution x and an element y so that 0(y)=3 and 0(xy)=t. In the present article, we determine all (2,3,t)-generations for the Rudvalis sporadic simple group Ru, where t is any divisor of .

KEYWORDS

Generating Triple; Sporadic Group; Simple Group; Rudvalis Group;(2, 3, t) -Generation

Share and Cite:

F. Ali, "On (2, 3, t)-Generations for the Rudvalis Group Ru," Applied Mathematics, Vol. 4 No. 9, 2013, pp. 1290-1295. doi: 10.4236/am.2013.49174.

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